Results 11 to 20 of about 4,006 (251)
The Cut-Elimination Theorem for Differential Nets with Promotion
Recently Ehrhard and Regnier have introduced Differential Linear Logic, DiLL for short -- an extension of the Multiplicative Exponential fragment of Linear Logic that is able to express non-deterministic computations. The authors have examined the cut-elimination of the promotion-free fragment of DiLL by means of a proofnet-like calculus: differential ...
Michele Pagani, Pagani, Michele
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A Mechanized Proof of the Max-Flow Min-Cut Theorem for Countable Networks [PDF]
Aharoni et al. [Ron Aharoni et al., 2010] proved the max-flow min-cut theorem for countable networks, namely that in every countable network with finite edge capacities, there exists a flow and a cut such that the flow saturates all outgoing edges of the
Lochbihler, Andreas
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Cut loci and conjugate loci on Liouville surfaces [PDF]
In the earlier paper (Itoh and Kiyohara, Manuscr Math 114:247–264, 2004), we showed that the cut locus of a general point on two-dimensional ellipsoid is a segment of a curvature line and proved "Jacobi’s last geometric statement" on the singularities of
Jin-ichi Itoh +3 more
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The cut elimination theorem in the unary second order language [PDF]
ln [T], Takeuti has conjectured that the cut elimination theorem holds for the simple theory of types cast in the sequent calculus. This conjecture is true for the first order language, as Gentzen had shown in [G]. (Indeed, the conjecture was made after Gentzen had proved his "Hauptsatz.") The purpose of this Note is to show that the conjecture is true
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Constructive Cut Elimination in Geometric Logic [PDF]
A constructivisation of the cut-elimination proof for sequent calculi for classical and intuitionistic infinitary logic with geometric rules - given in earlier work by the second author - is presented.
Giulio Fellin +5 more
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Aspects of the Cut-Elimination Theorem
I give a proof of the cut-elimination theorem (Gentzen's Hauptsatz ) for an intuitionistic multi-succedent calculus. The proof follows the strategy of eliminating topmost maximal-rank cuts that allows for a straightforward way to measure the upper bound ...
Rýdl, Jiří
core
Kripke-Completeness and Cut-elimination Theorems for Intuitionistic Paradefinite Logics With and Without Quasi-Explosion [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A cut elimination theorem for stationary logic
We develop a complete cut-free labelled sequent calculus for stationary logic and prove that in the given formalization, this logic has the subformula property. The necessary parameter restrictions on the rules of inference involved explain the compatibility of this result with the known failure of interpolation for stationary logic.
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Some remarks on proof-theoretic semantics
This is a tripartite work. The first part is a brief discussion of what it is to be a logical constant, rejecting a view that allows a particular self-referential “constant” • to be such a thing in favour of a view that leads to strong normalisation ...
Roy Dyckhoff, Dyckhoff, Roy
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Waveguide Photoactuators: Materials, Fabrication, and Applications
Waveguide photoactuators convert guided light into mechanical motion. Their tethered‐flexible design enables minimally invasive surgery and confined‐space robotics. This review aims to guide materials selection, device design, and system integration, accelerating the transition of waveguide photoactuators from laboratory prototypes to versatile ...
Minjie Xi +4 more
wiley +1 more source

